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13101920 = 255136299
BaseRepresentation
bin110001111110…
…101101100000
3220122122110022
4301332231200
511323230140
61144453012
7216236006
oct61765540
926578408
1013101920
117439737
12447a168
132939720
141a50a76
15123c0b5
hexc7eb60

13101920 has 48 divisors (see below), whose sum is σ = 33339600. Its totient is φ = 4836864.

The previous prime is 13101911. The next prime is 13101923. The reversal of 13101920 is 2910131.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13101923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1070 + ... + 5229.

It is an arithmetic number, because the mean of its divisors is an integer number (694575).

Almost surely, 213101920 is an apocalyptic number.

13101920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13101920 is an abundant number, since it is smaller than the sum of its proper divisors (20237680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13101920 is a wasteful number, since it uses less digits than its factorization.

13101920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6327 (or 6319 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

The square root of 13101920 is about 3619.6574423556. The cubic root of 13101920 is about 235.7463520152.

The spelling of 13101920 in words is "thirteen million, one hundred one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 6299 12598 25196 31495 50392 62990 81887 100784 125980 163774 201568 251960 327548 409435 503920 655096 818870 1007840 1310192 1637740 2620384 3275480 6550960 13101920